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Finding the Third Proportional to 133,173 and 286,109.50

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Solution

The third proportional to 133,173 and 286,109.50 is: 614,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,173 : 286,109.50 = 286,109.50 : x
  2. Step 2: Convert to fraction form
    133,173/286,109.50 = 286,109.50/x
  3. Step 3: Cross multiply
    133,173x = 286,109.50 × 286,109.50
  4. Step 4: Simplify right side
    133,173x = 81,858,645,990.25
  5. Step 5: Solve for x
    x = 81,858,645,990.25/133,173
  6. Step 6: Final answer
    x = 614,679.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.